Question

How do you solve the following system of equations?: `-x- 16y = 12 , 12x+y=8`?

Answer 1

`color(gray)(x = 35/382, y = -(152/191)`

Explanation:

`-x - 16y = 12, " Eqn (1)"`

`12x + y = 8, " Eqn (2)"`

`-12x - 192y + 12x + y = 144 + 8, " 12 * Eqn(1) + Eqn(2)"`

`-191y = 152 " or " y = -(152/191)`

Substituting value of y in Eqn (2),

`12x - (152/191) = 8`

`12x = (1528 + 152) / (8 * 191)`

`x = 1680 / (12 * 8 * 191) = 35 / 382`#